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The painting is, of course, two dimensional but presents the illusion of being three dimensional.
Clouds are three dimensional, which is very noticeable if you have ever flown through one in a plane (as I have). I would also note that all physical objects are three dimensional; a true two dimensional object only exists as a mathematical abstraction. However, some things come close to being two dimensional. A piece of paper does have some thickness, but for most purposes it can be treated as a two dimensional object.
There is not such thing as a three-dimensional triangle. You are thinking of a tetrahedron which is a three-dimensional figure with each side being a triangle. This has four vertices.
cubed is 3 dimensional. Three being the main word/number. so they use 3 as cubed due to its ties with dimensional
A rectangular-based pyramid.